Page Curve of AdS-Vaidya Model for Evaporating Black Holes

Abstract

We study an evaporating black hole in the boundary conformal field theory (BCFT) model under the fully time-dependent AdS-Vaidya spacetime geometry. We introduce the time-dependent finite bath termed the effective Hawking radiation region. This is described by a nontrivial BCFT solution that acts as a time-dependent brane which we call the moving end-of-the-radiation (METR) brane that leads to a new type of Hubeny-Rangamani-Takayanagi surface. We further examine the island formulation in this particular time-dependent spacetime. The Page curve is calculated by using Holographic Entanglement Entropy (HEE) in the context of double holography.

v2: 49 pages. Typos corrected and appendices were added; paper restructured and expanded discussion for more clarity. v3: Published version

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Cited by in corpus (2)

• Entanglement inside a black hole before the Page time
• Boundary mutual information in double holography